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Popular >

y^'+3x^2y=x^2

Solution

y^{^{'}} + 3 x^{2} y = x^{2}

Solution

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

Solution steps

y^{'} (x) + 3 x^{2} y = x^{2}

Solve separable ODE:

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

Graph

Popular Examples

tangent of f(x)=x^4-13x^2+36,\at x=-1 tangent of

f (x) = x^{4} - 13 x^{2} + 36, at x = - 1

derivative of x^{1/2}*(x^2+x-4)

\frac{d}{d x} (x^{\frac{1}{2}} \cdot (x^{2} + x - 4))

derivative of c^x

\frac{d}{d x} (c^{x})

derivative of \sqrt[4]{2x+16}

\frac{d}{d x} (4 2 x + 16)

limit as x approaches infinity of ln(-x)

x \to \infty lim (ln (- x))

Frequently Asked Questions (FAQ)

What is the solution for y^'+3x^2y=x^2 ?
The solution for y^'+3x^2y=x^2 is y=(e^{-x^3+c_{1}})/3+1/3